321134240 has 72 divisors (see below), whose sum is σ = 882567252. Its totient is φ = 110100480.

The previous prime is 321134201. The next prime is 321134243. The reversal of 321134240 is 42431123.

321134240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 312158224 + 8976016 = 17668^2 + 2996^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (321134243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12641 + ... + 28320.

Almost surely, 2^321134240 is an apocalyptic number.

It is an amenable number.

321134240 is an abundant number, since it is smaller than the sum of its proper divisors (561433012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321134240 is a wasteful number, since it uses less digits than its factorization.

321134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40990 (or 40975 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 321134240 is about 17920.2187486649. The cubic root of 321134240 is about 684.7975603678.

Adding to 321134240 its reverse (42431123), we get a palindrome (363565363).

The spelling of 321134240 in words is "three hundred twenty-one million, one hundred thirty-four thousand, two hundred forty".